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1199134480 = 24537210949
BaseRepresentation
bin100011101111001…
…0101011100010000
310002120101100021011
41013132111130100
54423434300410
6314553340304
741500321615
oct10736253420
93076340234
101199134480
11565975535
12295707694
1316158053b
14b538650c
157041918a
hex47795710

1199134480 has 60 divisors (see below), whose sum is σ = 2865636900. Its totient is φ = 466647552.

The previous prime is 1199134477. The next prime is 1199134483. The reversal of 1199134480 is 844319911.

It is an interprime number because it is at equal distance from previous prime (1199134477) and next prime (1199134483).

It can be written as a sum of positive squares in 6 ways, for example, as 13571856 + 1185562624 = 3684^2 + 34432^2 .

It is a super-2 number, since 2×11991344802 = 2875847002249740800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1199134483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104046 + ... + 114994.

It is an arithmetic number, because the mean of its divisors is an integer number (47760615).

Almost surely, 21199134480 is an apocalyptic number.

1199134480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1199134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432818450).

1199134480 is an abundant number, since it is smaller than the sum of its proper divisors (1666502420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1199134480 is a wasteful number, since it uses less digits than its factorization.

1199134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1199134480 is about 34628.5211927971. The cubic root of 1199134480 is about 1062.4030209986.

The spelling of 1199134480 in words is "one billion, one hundred ninety-nine million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10949 10952 13690 21898 21904 27380 43796 54745 54760 87592 109490 109520 175184 218980 405113 437960 810226 875920 1620452 2025565 3240904 4051130 6481808 8102260 14989181 16204520 29978362 32409040 59956724 74945905 119913448 149891810 239826896 299783620 599567240 1199134480